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Finding the Fourth Proportional to 10,578.62, 15,865.31 and 4,340.40

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Solution

The fourth proportional to 10,578.62, 15,865.31 and 4,340.40 is: 6,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.62 : 15,865.31 = 4,340.40 : x
  2. Step 2: Convert to fraction form
    10,578.62/15,865.31 = 4,340.40/x
  3. Step 3: Cross multiply
    10,578.62x = 15,865.31 × 4,340.40
  4. Step 4: Simplify right side
    10,578.62x = 68,861,802.38
  5. Step 5: Solve for x
    x = 68,861,802.38/10,578.62
  6. Step 6: Final answer
    x = 6,509.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.